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1
2 <!-- ============ Tactics ====================== -->
3 <sect1 id="tactics">
4  <title>Tactics</title>
5
6   <sect2 id="tac_absurd">
7     <title>absurd &lt;term&gt;</title>
8     <para>The tactic <command>absurd</command> </para>
9 <para>
10 </para>
11   </sect2>
12   <sect2 id="tac_apply">
13     <title>apply &lt;term&gt;</title>
14     <para>The tactic <command>apply</command> </para>
15   </sect2>
16   <sect2 id="tac_assumption">
17     <title>assumption</title>
18     <para>The tactic <command>assumption</command> </para>
19   </sect2>
20   <sect2 id="tac_auto">
21     <title>auto [depth=&lt;int&gt;] [width=&lt;int&gt;] [paramodulation] [full]</title>
22     <para>The tactic <command>auto</command> </para>
23   </sect2>
24   <sect2 id="tac_clear">
25     <title>clear &lt;id&gt;</title>
26     <para>The tactic <command>clear</command> </para>
27   </sect2>
28   <sect2 id="tac_clearbody">
29     <title>clearbody &lt;id&gt;</title>
30     <para>The tactic <command>clearbody</command> </para>
31   </sect2>
32   <sect2 id="tac_change">
33     <title>change &lt;pattern&gt; with &lt;term&gt;</title>
34     <para>The tactic <command>change</command> </para>
35   </sect2>
36   <sect2 id="tac_compare">
37     <title>compare &lt;term&gt;</title>
38     <para>The tactic <command>compare</command> </para>
39   </sect2>
40   <sect2 id="tac_constructor">
41     <title>constructor &lt;int&gt;</title>
42     <para>The tactic <command>constructor</command> </para>
43   </sect2>
44   <sect2 id="tac_contradiction">
45     <title>contradiction</title>
46     <para>The tactic <command>contradiction</command> </para>
47   </sect2>
48   <sect2 id="tac_cut">
49     <title>cut &lt;term&gt; [as &lt;id&gt;]</title>
50     <para>The tactic <command>cut</command> </para>
51   </sect2>
52   <sect2 id="tac_decide_equality">
53     <title>decide</title>
54     <para>The tactic <command>decide equality</command> </para>
55   </sect2>
56   <sect2 id="tac_decompose">
57     <title>decompose [&lt;ident list&gt;] &lt;ident&gt; [&lt;intros_spec&gt;]</title>
58     <para>The tactic <command>decompose</command> </para>
59   </sect2>
60   <sect2 id="tac_discriminate">
61     <title>discriminate &lt;term&gt;</title>
62     <para>The tactic <command>discriminate</command> </para>
63   </sect2>
64   <sect2 id="tac_elim">
65     <title>elim &lt;term&gt; [using &lt;term&gt;] [&lt;intros_spec&gt;]</title>
66     <para>The tactic <command>elim</command> </para>
67   </sect2>
68   <sect2 id="tac_elimType">
69     <title>elimType &lt;term&gt; [using &lt;term&gt;]</title>
70     <para>The tactic <command>elimType</command> </para>
71   </sect2>
72   <sect2 id="tac_exact">
73     <title>exact &lt;term&gt;</title>
74     <para>The tactic <command>exact</command> </para>
75   </sect2>
76   <sect2 id="tac_exists">
77     <title>exists</title>
78     <para>The tactic <command>exists</command> </para>
79   </sect2>
80   <sect2 id="tac_fail">
81     <title>fail</title>
82     <para>The tactic <command>fail</command> </para>
83   </sect2>
84   <sect2 id="tac_fold">
85     <title>fold &lt;reduction_kind&gt; &lt;term&gt; &lt;pattern&gt;</title>
86     <para>The tactic <command>fold</command> </para>
87   </sect2>
88   <sect2 id="tac_fourier">
89     <title>fourier</title>
90     <para>The tactic <command>fourier</command> </para>
91   </sect2>
92   <sect2 id="tac_fwd">
93     <title>fwd &lt;ident&gt; [&lt;ident list&gt;]</title>
94     <para>The tactic <command>fwd</command> </para>
95   </sect2>
96   <sect2 id="tac_generalize">
97     <title>generalize &lt;pattern&gt; [as &lt;id&gt;]</title>
98     <para>The tactic <command>generalize</command> </para>
99   </sect2>
100   <sect2 id="tac_id">
101     <title>id</title>
102     <para>The tactic <command>id</command> </para>
103   </sect2>
104   <sect2 id="tac_injection">
105     <title>injection &lt;term&gt;</title>
106     <para>The tactic <command>injection</command> </para>
107   </sect2>
108   <sect2 id="tac_intro">
109     <title>intro [&lt;ident&gt;]</title>
110     <para>The tactic <command>intro</command> </para>
111   </sect2>
112   <sect2 id="tac_intros">
113     <title>intros &lt;intros_spec&gt;</title>
114     <para>The tactic <command>intros</command> </para>
115   </sect2>
116   <sect2 id="tac_inversion">
117     <title>intros &lt;term&gt;</title>
118     <para>The tactic <command>intros</command> </para>
119   </sect2>
120   <sect2 id="tac_lapply">
121     <title>lapply [depth=&lt;int&gt;] &lt;term&gt; [to &lt;term list] [using &lt;ident&gt;]</title>
122     <para>The tactic <command>lapply</command> </para>
123   </sect2>
124   <sect2 id="tac_left">
125     <title>left</title>
126     <para>The tactic <command>left</command> </para>
127   </sect2>
128   <sect2 id="tac_letin">
129     <title>letin &lt;ident&gt; ≝ &lt;term&gt;</title>
130     <para>The tactic <command>letin</command> </para>
131   </sect2>
132   <sect2 id="tac_normalize">
133     <title>normalize &lt;pattern&gt;</title>
134     <para>The tactic <command>normalize</command> </para>
135   </sect2>
136   <sect2 id="tac_paramodulation">
137     <title>paramodulation &lt;pattern&gt;</title>
138     <para>The tactic <command>paramodulation</command> </para>
139   </sect2>
140   <sect2 id="tac_reduce">
141     <title>reduce &lt;pattern&gt;</title>
142     <para>The tactic <command>reduce</command> </para>
143   </sect2>
144   <sect2 id="tac_reflexivity">
145     <title>reflexivity</title>
146     <para>The tactic <command>reflexivity</command> </para>
147   </sect2>
148   <sect2 id="tac_replace">
149     <title>replace &lt;pattern&gt; with &lt;term&gt;</title>
150     <para>The tactic <command>replace</command> </para>
151   </sect2>
152   <sect2 id="tac_rewrite">
153     <title>rewrite {&lt;|&gt;} &lt;term&gt; &lt;pattern&gt;</title>
154     <para>The tactic <command>rewrite</command> </para>
155   </sect2>
156   <sect2 id="tac_right">
157     <title>right</title>
158     <para>The tactic <command>right</command> </para>
159   </sect2>
160   <sect2 id="tac_ring">
161     <title>ring</title>
162     <para>The tactic <command>ring</command> </para>
163   </sect2>
164   <sect2 id="tac_simplify">
165     <title>simplify &lt;pattern&gt;</title>
166     <para>The tactic <command>simplify</command> </para>
167   </sect2>
168   <sect2 id="tac_split">
169     <title>split</title>
170     <para>The tactic <command>split</command> </para>
171   </sect2>
172   <sect2 id="tac_symmetry">
173     <title>symmetry</title>
174     <para>The tactic <command>symmetry</command> </para>
175   </sect2>
176   <sect2 id="tac_transitivity">
177     <title>transitivity &lt;term&gt;</title>
178     <para>The tactic <command>transitivity</command> </para>
179   </sect2>
180   <sect2 id="tac_unfold">
181     <title>unfold [&lt;term&gt;] &lt;pattern&gt;</title>
182     <para>The tactic <command>unfold</command> </para>
183   </sect2>
184   <sect2 id="tac_whd">
185     <title>whd &lt;pattern&gt;</title>
186     <para>The tactic <command>whd</command> </para>
187   </sect2>
188
189 </sect1>